A
1 Dictoron makes aurora by trace and time.
2 Aurora forms band that changes with time.
3 When dictoron revolve adequately, aurora forms möbius.
4 Band and möbius make torus as branched covering space.
5 Möbius is fiber bundle.
6 Vector bundle is fiber bundle.
B
8 Now at noncommunicative gauge theory, there seems vector potential for curvature and connection.
9 By Yang-Mills theory, vector potential be connection, electromagnetic field is curvature.
10 Aurora as trace of dictoron is verified from curvature.
Tokyo September 30, 2006
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